In this research project, the thermoelastic behaviors for structural elements subject to the uniformly distributed magnetic field are treated theoretically, and the coupling effects of thermoelastic field and magnetic field on the deformation and stresses are discussed. As for the analytical models, we considered a plate subject to the action of the magnetic field, which is uniformly distributed in the parallel direction with the longitudinal one of the plate, furthermore, a solid cylinder subject to the actions of the magnetic field uniformly distributed in the parallel or the perpendicular direction of the axis of the cylinder. And we assumed that these models are suddenly heated from the surrounding medium. We now supposed that the material property of the plate and the cylinder are composed of ferromagnetic material and paramagnetic one. For the analytical developments, the coupling term between the temperature field and the elastic field is considered, however, the inertia term of
… More the elastic field is neglected because the effect is insignificant. We have carried out the numerical calculations for several cases taking into account the variations of uniformly distributed magnetic field, and the results obtained from the numerical data are summarized as follows.1. For the non-ferromagnetic (paramagnetic) materials, the influences of the disturbance of the magnetic field due to the thermal deformation affected on the stress distribution, and the Maxwell stress distribution due to the action of the magnetic field can be seen significantly. Moreover, for the ferromagnetic materials, the magnetically induced stresses due to the induced magnetization in accordance with the above-mentioned stresses for the paramagnetic materials can be seen more significantly.2. It can be seen, from the numerical results of the cylinder, that the elastic behavior maintain axisymmetrically when the magnetic field is acted in the parallel direction with the axis of the cylinder, however, the deformation is changed into the non-axisymmetrical one when the magnetic field is acted perpendicularly with the axis of the cylinder.3. As for the effect of the magnetic field on the stress distribution, it is found that the magnetically induced stress distribution is insignificant compared with the thermoelastic stresses when the uniformly distributed magnetic field is 1 tesla. However, when the magnetic field acts more strongly such as 100 or 1000 tesla, the magnetically induced stresses are significantly appeared in comparison with the thermoelastic stresses.3.強磁場環境下では、一様磁場の作用により生じる応力成分は、磁場が作用しない場合の熱応力成分よりも小さい値を示す程度であるが、一様磁場を大きく与え、極強磁場環境を想定すると、磁気的な応力成分は熱弾性応力よりもはるかに大きな値を示すことが判った。4.温度場とひずみ場と連成項の影響は、一様磁場が作用する環境においても熱弾性挙動に対して顕著に表れることが判った。本研究については、研究期間内に計8回の口頭発表を行った。しかし、これらの成果を学術論文としてまだ投稿できておらず、現在、学術論文として執筆中であります。そこで、上記の口頭発表論文を次頁の[雑誌論文]の欄に記載しておきます。 Less